Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2022, Number 1, Pages 83–98
DOI: https://doi.org/10.56415/basm.y2022.i1.p83
(Mi basm567)
 

Morita contexts, preradicals and closure operators in modules

A. I. Kashu

Vladimir Andrunachievici Institute of Mathematics and Computer Science, Academiei 5 str., Kishinau, Moldova
References:
Abstract: The preradicals and closure operators in module categories are studied. The concordance is shown between the mappings connecting the classes of preradicals and of closure operators of two module categories $R$-Mod and $S$-Mod in the case of a Morita context $(R,{}_{R}U_{S}, {}_{S}V_{R},S)$, using the functors $Hom_{R}(U,-)$ and $Hom_{S}(V,-)$.
Keywords and phrases: ring, module, category, preradical, closure operator, Morita context.
Funding agency Grant number
National Agency for Research and Development 21.70086.3şD
This article was partially supported by the National Agency for Research and Development (of the Republic of Moldova) under grant no. 21.70086.3ŞD.
Bibliographic databases:
Document Type: Article
MSC: 16D90, 16S90
Language: English
Citation: A. I. Kashu, “Morita contexts, preradicals and closure operators in modules”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, no. 1, 83–98
Citation in format AMSBIB
\Bibitem{Kas22}
\by A.~I.~Kashu
\paper Morita contexts, preradicals and closure operators in modules
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2022
\issue 1
\pages 83--98
\mathnet{http://mi.mathnet.ru/basm567}
\crossref{https://doi.org/10.56415/basm.y2022.i1.p83}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4453740}
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